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Finding the Fourth Proportional to 686.61, 946.05 and 465.18

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Solution

The fourth proportional to 686.61, 946.05 and 465.18 is: 640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.61 : 946.05 = 465.18 : x
  2. Step 2: Convert to fraction form
    686.61/946.05 = 465.18/x
  3. Step 3: Cross multiply
    686.61x = 946.05 × 465.18
  4. Step 4: Simplify right side
    686.61x = 440,083.54
  5. Step 5: Solve for x
    x = 440,083.54/686.61
  6. Step 6: Final answer
    x = 640.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.